Mathematics 9709 · AS & A Level · Integration

Integration — practice question

A curve is given by $y = \frac{2}{\sqrt{5x - 6}}$.
(i)[3]

Find the gradient of the curve when $x = 2$.

(ii)[4]

Find $\int \frac{2}{\sqrt{5x - 6}}\,dx$ and then evaluate $\int_2^3 \frac{2}{\sqrt{5x - 6}}\,dx$.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Applies differentiation to $y=\dfrac{2}{\sqrt{5x-6}}$” …

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